Influence of non-local diffusion in avascular tumour growth (Q5103863)

scientific article; zbMATH DE number 7582897

Language	Label	Description	Also known as
English	Influence of non-local diffusion in avascular tumour growth	scientific article; zbMATH DE number 7582897

Statements

instance of

scholarly article

0 references

title

Influence of non-local diffusion in avascular tumour growth (English)

0 references

0 references

0 references

0 references

Mathematics and Mechanics of Solids

0 references

publication date

9 September 2022

0 references

zbMATH Keywords

tumour growth

0 references

non-Fickean diffusion

0 references

non-local interactions

0 references

inelastic distortions

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1177/1081286520975086

0 references

cites work

Growth of nonnecrotic tumors in the presence and absence of inhibitors

0 references

Modelling and mathematical problems related to tumor evolution and its interaction with the immune system

0 references

A history of the study of solid tumour growth: the contribution of mathematical modelling

0 references

Mathematical Models of Avascular Tumor Growth

0 references

Multiscale modelling and nonlinear simulation of vascular tumour growth

0 references

The insight of mixtures theory for growth and remodeling

0 references

Tumor growth modelling by cellular automata

0 references

Growth and balance.

0 references

A MULTIPHASE MODEL OF TUMOR AND TISSUE GROWTH INCLUDING CELL ADHESION AND PLASTIC REORGANIZATION

0 references

The mathematics and mechanics of biological growth

0 references

Thermomechanics of viscoplasticity. Fundamentals and applications

0 references

On the origins of the idea of the multiplicative decomposition of the deformation gradient

0 references

Uniform materials and the multiplicative decomposition of the deformation gradient in finite elasto-plasticity

0 references

A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity

0 references

ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH

0 references

Perspectives on biological growth and remodeling

0 references

An avascular tumor growth model based on porous media mechanics and evolving natural states

0 references

Q3565827

0 references

The random walk's guide to anomalous diffusion: A fractional dynamics approach

0 references

The role of the microvascular tortuosity in tumor transport phenomena

0 references

Fractional Calculus with Applications in Mechanics

0 references

Linear theory of nonlocal elasticity and dispersion of plane waves

0 references

Plane stress problems in nonlocal elasticity: finite element solutions with a strain-difference-based formulation

0 references

Space-time fractional diffusion in cell movement models with delay

0 references

On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients

0 references

A diffusion wave equation with two fractional derivatives of different order

0 references

Long-range cohesive interactions of non-local continuum faced by fractional calculus

0 references

Elasticity theory of materials with long range cohesive forces

0 references

Fractional Calculus With Applications in Mechanics

0 references

Generalized wave equation in nonlocal elasticity

0 references

Brittle failures at rounded V-notches: a finite fracture mechanics approach

0 references

A fractional diffusion equation to describe Lévy flights

0 references

ENTROPY STRUCTURE OF A CROSS-DIFFUSION TUMOR-GROWTH MODEL

0 references

Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives

0 references

Modelling the compression and reorganization of cell aggregates

0 references

Anomalous diffusion and transport in heterogeneous systems separated by a membrane

0 references

The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

0 references

Numerical methods for the solution of partial differential equations of fractional order.

0 references

Finite difference approximations for two-sided space-fractional partial differential equations

0 references

Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)

0 references

Space-time adaptive finite elements for nonlocal parabolic variational inequalities

0 references

Modelling solid tumour growth using the theory of mixtures

0 references

Thermomechanics of volumetric growth in uniform bodies

0 references

On the mechanics of a growing tumor

0 references

Non-Darcian flow in fibre-reinforced biological tissues

0 references

Eshelby's stress tensors in finite elastoplasticity

0 references

Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development

0 references

Poroelastic materials reinforced by statistically oriented fibres--numerical implementation and application to articular cartilage

0 references

Functional analysis, Sobolev spaces and partial differential equations

0 references

Q3141895

0 references

La différentiabilité dans le calcul fractionnaire

0 references

Fractional vector calculus and fractional Maxwell's equations

0 references

Q3996425

0 references

A poroplastic model of structural reorganisation in porous media of biomechanical interest

0 references

Fractional dynamics of systems with long-range interaction

0 references

Q3836478

0 references

On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials

0 references

Q3335096

0 references

Identifiers

DOI

10.1177/1081286520975086

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5103863